## 2018 BDMO NT exam P4

For discussing Olympiad Level Number Theory problems
Ananya Promi
Posts: 36
Joined: Sun Jan 10, 2016 4:07 pm

### 2018 BDMO NT exam P4

Let $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.

Atonu Roy Chowdhury
Posts: 64
Joined: Fri Aug 05, 2016 7:57 pm

### Re: 2018 BDMO NT exam P4

শুভ নববর্ষ ১৪২৫
This was freedom. Losing all hope was freedom.

samiul_samin
Posts: 1007
Joined: Sat Dec 09, 2017 1:32 pm

### Re: 2018 BDMO NT exam P4

Ananya Promi wrote:
Thu Apr 12, 2018 3:43 pm
Let $n$ be an even positive integer. A sequence of $n$ real numbers is called complete if for every integer $m$ with $$1 \leq m \leq n$$ either the sum of the first $m$ terms or the sum of the last $m$ terms is integral. Determine the minimum number of the integers in a complete sequence of $n$ numbers.
Is this problem taken from National Math Camp question?